61909344 has 216 divisors, whose sum is σ = 211754088. Its totient is φ = 17095680.

The previous prime is 61909343. The next prime is 61909357. The reversal of 61909344 is 44390916.

61909344 is a `hidden beast` number, since 619 + 0 + 9 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61909299 and 61909308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61909343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578539 + ... + 578645.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^61909344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61909344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105877044).

61909344 is an abundant number, since it is smaller than the sum of its proper divisors (149844744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61909344 is a wasteful number, since it uses less digits than its factorization.

61909344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 61909344 is about 7868.2491063768. The cubic root of 61909344 is about 395.5961600833.

The spelling of 61909344 in words is "sixty-one million, nine hundred nine thousand, three hundred forty-four".